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pochemuha
3 years ago
8

What is the value of x in the diagram below? 2 right triangles are stacked. The bottom triangle has a side length of 9 units and

an adjacent angle measure of 30 degrees. The top triangle has a hypotenuse length of x and an angle measure of 45 degrees. StartFraction 18 Over StartRoot 3 EndRoot EndFraction StartFraction 18 StartRoot 2 EndRoot Over StartRoot 3 EndRoot EndFraction StartFraction 18 StartRoot 3 EndRoot Over StartRoot 2 EndRoot EndFraction 18 StartRoot 2 EndRoot Mark this and return
Mathematics
2 answers:
ehidna [41]3 years ago
6 0

Answer:

18 sqrt2/ sqrt3

Step-by-step explanation:

Snezhnost [94]3 years ago
6 0

Answer:

B.) 18 sqrt2/sqrt3

Step-by-step explanation:

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Calculate the volume of a rectangular prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm. (As before, you
maria [59]

Answer:

85.932 cm³

Step-by-step explanation:

The volume of rectangular prism is obtained as the product of its length (l) by its width (w) and by its height (h):

V=l*w*h

The volume of a prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm is:

V=4.4*3.1*6.3\\V=85.932\ cm^3

The volume of this prism is 85.932 cm³.

4 0
3 years ago
What is the distance between the following points?
Anastasy [175]

Answer:

distance = 5

Step-by-step explanation:

Use Pythagorean Theorem or Distance Formula (which comes from Pythagorean Thm anyway) see image.

6 0
2 years ago
There are 40 people at Drake’s sweet sixteen party. Drake’s only rule is that everyone in the party must meet and shake each oth
Nonamiya [84]

Answer:

Given:

Total Number of people at the Drake’s sweet sixteen party = 40

Everyone in the party must meet and shake each other’s hand

1) How many handshakes are there altogether?

There was total of 780 handshakes in the party.

2. How did you get your solution:

If you have 7 people, person seven shakes six other hands, person  

six shakes five other hands, person five shakes fours other hands,  

person  ,four shakes three other hands, person three shakes two other hands,  and person two shakes one hand.  Another way to see it is,

Person 7  +person 6 + person 5 + person 4 +person 3 + person 2 +  person 1

= 6+5+ 4+3+2+1

=>21

so similairly in case of 40 persons

= 39+38+37+36+37+36+35+34 .................+3+2+1

=>780

3) What’s the quickest way to figure this out if Drake invited 1,000 people?

People at Party               Number of Handshakes

     2                                                     1

     3                              1 + 2              = 3

     4                            1 + 2 + 3          = 6

     5                          1 + 2 + 3 + 4      = 10

     6                        1 + 2 + 3 + 4 + 5  = 15

     .

     .

     .                                          

     n                              1 + 2 + ...+ (n-1) =  --------     \frac{n(n-1)}{2}

Hence for n persons the number of handshakes will be  \frac{n(n-1)}{2}

So for 1000 persons the number of handshakes will be

=>\frac{1000(1000-1)}{2}

=>\frac{1000(999)}{2}

=>\frac{999000}{2}

=>499,500

                                                     

3 0
3 years ago
A clothing store used the sign show below to advertise a discount on shirts:
Murljashka [212]
Tax= Tax %(Price of 2 Shirts + 50% of 3rd Shirt)
Tax= 7.1%[49.96+49.96+1/2(49.96)]
Tax= 0.071(49.96+49.96+24.98)
Tax= 0.071(124.90)
Tax= $8.8679

Total= Tax + Price of Shirts
Total= $8.8679 + $124.90
Total= $133.7689 or rounded $133.77

Mean Price= Total ÷ 3
Mean= $44.5893 or rounded $44.59

Answer: C) $44.59

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
The coordinates of point a (5,-3). point a is reflected across the x-axis to obatin point
Nana76 [90]
The answer is (5,3) because when a point gets reflected across the x-axis its x coordinate stays the same but its y coordinate switches sign
8 0
3 years ago
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